Answer: 0.2
Step-by-step explanation:
The first hundred natural numbers are 1 to 100.
Now, the numbers that are multiples of 5 are the numbers that end in 5 or 0, so we have:
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100
So in the range, we have 20 multiples of 5.
Now, when we select at random, each number has the same probability of being selected, then the probability of randomly selecting a multiple of 5 is equal to the number of multiples of 5 divided the total number of options in the set.
we have 20 multiples of 5, and in the set we have a total of 100 numbers, then the probability is:
P = 20/100 = 0.2
4x + 3y - 8z
-5x + 7y + 10Z
(+) - 4x – 3y - 8z
Answer:
and 4x-5x-4x+3y+7y-3y-8z+10z-8z
-5x+7y-6z :this is the answer
subtract the following integer in number line =5 from 3
Answer:
-2
Step-by-step explanation:
3-5= -2
Use the x-intercept method to find all real solutions of the equation.
x^3- 7x2 + 7x + 15 = 0
a. X = -1, 3, or -5
b. x= 1, -3, or -5
c. X = -1, 3, or 5
d. X = 1, -3, or 5
38. A painting without its frame has
a width 2.5 times its height, h,
in inches. Its frame is 3 in. wide
all along its perimeter. What is
an expression for the area of the
framed painting in terms of h?
Simplify your expression, and write
it in standard form.
Answer:
1.5*w^2 + 15*w + 36
Step-by-step explanation:
We have to make the width of the portrait be 'w'
in addition to that the height of the frameless portrait (h) = 1.5 times its width, i.e. 1.5 * w
Frame width is 3 inches on all sides.
Therefore the area of the framed portrait is the total area of the portrait plus the area of the frame. The figure representing the above scenario is shown below.
I enclose a figure that allows us to see the problem better, the area of the rectangle ABCD is the area of the framed portrait.
From the figure, we have to:
AB = 3 + w + 3 = w + 6
BC = 3 + h + 3 = h + 6 = 1.5 * 2 +6
We know that the area of the rectangle ABCD is given as the product of the length AB and the width BC. Thus,
Area = (w + 6) * (1.5 * w + 6)
Area = 1.5 * w ^ 2 + 6 * w + 9 * w + 36
Area = 1.5*w^2 + 15*w + 36
That is, the expression for the framed portrait area in terms of the width 'w' is:
1.5*w^2 + 15*w + 36
what is the volume of the cone using pi/3.14 using the numbers 2and 3
Answer:
V=π*r^(2)*h/3
Step-by-step explanation:
Please help me with my question!!
We know that the area of each tile is 3 1/2in^2
All we need to do is divide.
210 / 3.5 = 60
So, she will need 60 tiles to cover the entire bathroom floor.
Best of Luck!
compared to jenny, sally is 5/6 as tall and may is 4/5 as tall. How many time taller is sally than may
Answer:
25/24
Step-by-step explanation:
Let
Sally=S
May=M
Sally is 5/6 as tall
S = 5/6
May is 4/5 as tall
M = 4/5
S/M = 5/6/4/5
=5/6×5/4
=25/24
Why do you think you can prove congruency with SSS but not with AAA Property. Explain your answer with figures.
In AAA (Angle-Angle-Angle), triangles do not have the same size and only have 3 pairs of congruent angles.
In SSS (Side-Side-Side), if the three sides of one triangle are equal to the three sides of another triangle, the triangles are congruent.
Calculate the probability of all three events occurring.
Answer:
even = 1/2
prime = 1/2
multiple of 5 = 1/6
Step-by-step explanation:
probability is the chances of obtaining a certain result out of many attempts.
when rolling a die, the maximum number of results you can get is 6
Then, calculate how many times each of the occurrences appear(even, prime or multiples of 5)
Even = There are only 3 even numbers from 1 to 6
Prime: There are only 3 primes from 1 to 6
Multiples of 5 = There is only one multiple of 5.
Now you present each of this out of 6:
Even: 3/6 = 1/2
Prime: 3/6 = 1/2
Multiple of 5 = 1/6
This can also be presented as a decimal or percentage:
Even: 50% = 0.5
Prime: 50% = 0.5
Multiple of 5 = 16.67% = 0.16
Hope this helps.
Good Luck
HELP!!!!!!!!!!!!!!!!!!!!!!
Answer:
A. Obtuse
Step-by-step explanation:
Supplementary Angles: either of two angles whose sum is 180°
Adjacent: have a common side, a common vertex, and don't overlap
What epuation correctly shows how to determine the distance between points 9,-2 6,3
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
This is the distance formula. To find the distance, solve as shown:
[tex]d=\sqrt{(6-9)^{2}+(3-(-2))^{2} } \\d=\sqrt{(6-9)^{2}+(3+2)^{2} } \\d=\sqrt{(-3)^{2}+(5)^{2} } \\d=\sqrt{9 +25 } \\d=\sqrt{34 }[/tex]
84 is 12%of what number
please hurry!!!!!!
Answer: 700
84 is 12% of What Number:
12% of 700 is 84
100% of 700 is 700, therefore 12 percent of 700 equals 84.
To check this, 12% of 700 IS 84 (Check on Calculator)
Hope this helps!!
part 1. Find the missing sides for the 30-60-90 Triangles. Please show work
1. cos(30) = a/16
a = 16 x cos(30)
a = 8√3
sin(30) = c/16
c = 16 x sin(30)
c = 8
2. cos(30) = d/28
d = 28 x cos(30)
d = 14√3
sin(30) = f/28
f = 28 x sin(30)
f = 14
3. sin(30) = x/62
x = 62 x sin(30)
x = 31
cos(30) = y/62
y = 62 x cos(30)
y = 31√3
Answer:
1. (a, c) = (8, 8√3)
2. (d, f) = (14, 14√3)
3. (x, y) = (31, 31√3)
Step-by-step explanation:
Side lengths in a 30°-60°-90° triangle have the ratios 1 : √3 : 2. You can multiply these ratio values by an appropriate constant to make them match the lengths in your triangle.
__
1. a : c : 16 = 1 : √3 : 2
Multiply by 16/2 = 8:
= 8 : 8√3 : 16
a = 8, c = 8√3
__
2. d : f : 28 = 1 : √3 : 2
Multiply by 28/2 = 14:
= 14 : 14√3 : 28
d = 14, f = 14√3
__
3. x : y : 62 = 1 : √3 : 2
Multiply by 62/2 = 31:
= 31 : 31√3 : 62
x = 31, y = 31√3
A standard six-sided die is rolled three times. Use multiplication to determine the probability that a one or two appears on the second roll, and an odd number appears on the third roll
Answer:
1/6
Step-by-step explanation:
Since we don't care what appears on the first roll
P( outcome) = 1
Second roll
P(1 or 2) = number of 1 or 2 / total number of outcomes
=2/6 = 1/2
Third roll
odd numbers 1,3,5
P( odd number)= number of odd numbers/ total
=3/6 =1/2
P( outcome, 1or 2, odd) = P( outcome) *P(1 or 2) *P( odd number)
= 1* 1/3 * 1/2
= 1/6
You can rent time on computers at the local copy center for a $9 setup charge and an additional $150 for every 5 minutes. How much time can be rented for $26?
Select the correct choice below and fill in the answer box to complete your choice
A. The independent variable is time (t) in minutes, and the dependent vanable is rental cost (), in dollars. The linear function that models this situation is
(Simplify your answer. Do not include the $ symbol in your answer)
B. The independent variable is rental cost (t), in dollars, and the dependent variable is time (t), in minutes. The linear function that models this situation ist
(Simplify your answer. Do not include the 5 symbol in your answer.)
minutes can be rented for $26
(Round to the nearest minute as needed)
A linear model
reasonable for this situation
Answer:
(A) The independent variable is time (t) in minutes, and the dependent variable is rental cost (), in dollars. The linear function that models this situation is
R(t) = 30t +8
The time that can be rented for $26 = 1min
Step-by-step explanation:
Based on the information given:
Setup charge on Rent at local copy center = $9
an additional $150 for every 5 minutes. To determine the time that can be rented for $26, let's find the relationship between the rental cost and the time.
For every 5min = $150
For 1 min = $150/5
For t min = 150t/5
Where t = number of minutes of rental time
Rental cost = set up charge + additional cost
Let Rental cost = R(t)
R(t) = 9 + 150t/5
Writing it in form of a linear equation: y = mx + c
R(t) = 150t/5 +9
R(t) = (150/5) ×t + 9
R(t) = 30t + 9
The independent variable is time (t) in minutes, and the dependent variable is rental cost (), in dollars. The linear function that models this situation is
R(t) = 30t + 9
The time that can be rented for $26:
Rental cost = $26
R(t) = 30t +9
26 = 30t +9
26-9 = 30t
17 = 30t
t = 17/30 = 0.57
t is approximately = 1min (nearest minute)
The time that can be rented for $26 = 1min
Find the slope of the line that passes through (1, 2) and (10, 9).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
7/9
Step-by-step explanation:
What is the perimeter?
Answer:
91+c
Step-by-step explanation:
The equation to find the perimeter of the triagle is every side added together. We know 2 sides which means we add them to get 91. Then we know we don't know the next number but we add it so we just put the c where the next number to be added would go.
How many solutions exist for the system of equations 3x+y=18 3x+y=16
Answer:
no solutions
Step-by-step explanation:
Subtract the two equations
3x+y=18
-(3x+y=16)
--------------------
0 + 0 = -2
0 does not equal negative 2
This is never true so there are no solutions
Answer:
The number of solutions is 0.
Step-by-step explanation:
The x and y terms are equal. The constants are different. The lines are parallel. No solution.
Write the following inequalities in slope interact form -12x-2y> -42
Answer:
y < -6x+21
Step-by-step explanation:
-12x-2y> -42
Add 12 x to each side
-12x+12x-2y>12x -42
-2y > 12x-42
Divide by -2 remembering to flip the inequality
-2y/-2 < 12x/-2 -42/-2
y < -6x+21
This is in slope intercept form
i hate math bro please help me
Answer:
D
Step-by-step explanation:
D is the correct answer, (-y, x)
Can someone plz help me I really need it ASAP help me with this problem !
Answer:
-6x
check the attachment i provided
Step-by-step explanation:
[tex]-5x-x\\\mathrm{Add\:similar\:elements:}\:-5x-x=-6x\\=-6x[/tex]
Answer:
-6x
Step-by-step explanation:
All you have to do is subtract the constants, because the variable is going to be there always
The weight of a honeybee is 1.2\cdot10^{-1}\text{ g}1.2⋅10 −1 g1, point, 2, dot, 10, start superscript, minus, 1, end superscript, start text, space, g, end text. The weight of the pollen collected by the bee on one trip is 6.0 \cdot 10^{-2} \text{ g}6.0⋅10 −2 g6, point, 0, dot, 10, start superscript, minus, 2, end superscript, start text, space, g, end text.
Answer:1.8*10^-1
Step-by-step explanation:
Answer: 1.8 x 10^−1
Step-by-step explanation:
I don’t understand, what’s the answer and why?
The diameter of a circle is 222 units. What is the radius of the circle?
Answer:
111 units
Step-by-step explanation:
the diameter is double the radius so divide 222 by 2 to get 111 units.
A biologist uses a box-shaped fish trap that measures 1/4meter by 2/3meter by 3/5meter. What is the volume of the trap in the cubic meters.
To find the volume of a box-shaped fish trap, we have to multiply the three dimensions of it:
(1/4 m)* (2/3 m)* (3/5 m)
= (1*2*3)/ (4*3*5) m^(3)
= 6/ 60 m^(3)
= 1/10 m^(3)
= 0.1 m^(3)
The volume of the box-shaped fish trap is 0.1 m^(3).
Hope this is helpful~
In an election of housing society,there are 30 voters.Each of them gives the vote.Three persons X,Y and Z are standing for post secretary.If Mr.X got 2/5 of the total votes and Me.Z got 1/4 of the total votes then how much did Mr.Y get?
Answer:
Mr Y got 10 votes
Step-by-step explanation:
The election of the housing society has 30 voters. Each of them gives the vote. The three person vying for the post of secretary are X, Y and Z.
Le us calculate the votes of each contestant
Mr X
He got 2/5 of the total votes
number of votes = 2/5 × 30
number of votes = 60/5
number of votes = 12
Mr Z
He got 1/4 of the total votes
number of votes = 1/4 × 30
number of votes = 30/4
number of votes = 1/4 × 30
number of votes = 7.5 ≈ 8 votes
Mr Y
The remaining votes will be 30 - 12 - 8 = 10 votes
Therefore,
Mr Y got 10 votes
compare: 3 5/7 to 3 6/10 which one is greater
Answer:
3 5/7
Step-by-step explanation:
First we need to get a common denominator.
We can do this by multiplying the fractions by opposite denominators.
This gets us 3 50/70 and 3 42/70
Now we can see that 3 5/7 is greater
Steps:
Using the given inputs: 3 5/7 and 3 6/10
Rewriting these inputs as fractions: 3 5/7 3 6/10
26/7 36/10
The least common denominator (LCD) is: 70.
Rewriting as equivalent fractions with the LCD: 3 5/7 3 6/10
260/70 252/70
Comparing the numerators of the equivalent fractions we have:
3 5/7 3 6/10
260/70 > 252/70
Comparison shows: 3 5/7 > 3 6/10
Answer: 3 5/7 > 3 6/10
Please mark brainliest
Hope this helps.
Find the y-intercept of the following equation. Simplify your answer.
y = 7x + 3
y-intercept =
Answer:
y-intercept is 3
Step-by-step explanation:
This equation is a linear equation [tex]y=mx+b[/tex].
m is the slope.
b is the y-intercept.
[tex]y=mx+b[/tex] is the same as [tex]y=7x+3[/tex]
7 would be the slope.
3 would be the y-intercept.
If m2 CBD = 42 and m2 DBE = 26, what is the measure of ZABE?
A. 26
B.42
C.112
D.124
Solve for x. -7x= -8x+7
Answer:
x = 7
Step-by-step explanation:
-7x= -8x+7
Add 8x to each side
-7x+8x= -8x+8x+7
x = 7
Answer:
The value of [tex]x[/tex]:
[tex]x = 7[/tex]
Step-by-step explanation:
Solve for [tex]x[/tex]:
[tex]-7x = -8 x + 7[/tex]
Add both sides by [tex]8x[/tex]:
[tex]-7x + 8x = -8x + 8x + 7[/tex]
[tex]x = 7[/tex]
So, the final answer is [tex]x = 7[/tex] .
